Chris is driving his motorhome. It uses 4 gallons of gas for every 36 miles he travels.
Complete the table below showing the number of gallons used and the distance traveled.
Number of gallons | ? | 4 | 7 | ? | 10 |
Distance (miles) | 9 | 36| ? | 81| ? |
I've created an equation for you. What you do with it is input a distance as your x and the number of gallons for the x you put will come out as y.
y=(x/36)*4
looks like 4 gal : 36 miles = g gal : d miles
1/9 = g/d
d = 9g
for each of the unknown cases, just plug in
e.g. when d = 9 , g = ?
9 = 9g
g = 1
and the number of gallons will come out as y ****
idk
To complete the table, we need to find the distance traveled for the given number of gallons used.
First, we can determine the distance traveled for 4 gallons by using the given rate of 4 gallons per 36 miles. We can set up a proportion to find the missing distance:
4 gallons = 36 miles
1 gallon = 36 miles / 4 gallons
1 gallon = 9 miles
Therefore, for 4 gallons, the distance traveled is 36 miles.
Next, we can find the distance traveled for 7 gallons. We can set up another proportion:
4 gallons = 36 miles
7 gallons = ? miles
Using the first proportion, we can find the value of 1 gallon:
1 gallon = 9 miles
To find the distance traveled for 7 gallons, we can multiply the value of 1 gallon by 7:
7 gallons = 9 miles/gallon * 7 gallons
7 gallons = 63 miles
Therefore, for 7 gallons, the distance traveled is 63 miles.
Next, we are given a distance of 81 miles. To find the number of gallons used, we can set up a proportion:
36 miles = 4 gallons
81 miles = ? gallons
First, let's find the value of 1 mile:
1 mile = 4 gallons / 36 miles
1 mile = 1/9 gallons
To find the number of gallons used for 81 miles, we can multiply the value of 1 mile by 81:
81 miles = (1/9 gallons/mile) * 81 miles
81 miles = 9 gallons
Therefore, for 81 miles, the number of gallons used is 9 gallons.
Lastly, we need to find the distance traveled for 10 gallons. Using the rate of 4 gallons per 36 miles, we can set up a proportion:
4 gallons = 36 miles
10 gallons = ? miles
Again, we can find the value of 1 gallon:
1 gallon = 9 miles
To find the distance traveled for 10 gallons, we can multiply the value of 1 gallon by 10:
10 gallons = 9 miles/gallon * 10 gallons
10 gallons = 90 miles
Therefore, for 10 gallons, the distance traveled is 90 miles.
Using the information we deduced, the completed table would be:
Number of gallons | 4 | 7 | 9 | 10 |
Distance (miles) | 36 | 63 | 81 | 90 |
36mi/4gal = 9mi/1gal.
1. 9/1 = 9/g. g = gal. used.
3. 9/1 = d/7. d = miles traveled.
4. 9/1 = 81/g.
5. 9/1 = d/10.